Cremona's table of elliptic curves

6552 = 2³ · 3² · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 13+	Signs for the Atkin-Lehner involutions
Conductor	6552	Conductor
Count	4	Number of curves in isogeny class
Curves	6552j1 6552j2 6552j3 6552j4	Curves in isogeny class
deg	32256	Modular degree for the optimal curve
Eigenvalues	2+ 3- -2 7- -4 13+ -6  4	Hecke eigenvalues for primes less than 20
L	3.4607560709352	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	13104n 52416da 2184l 45864t	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for isogeny class 6552j

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	-2	-	-4	+	-6	4	8	6	8	2	-2	-4	12	6	-12	-6	0	-16	-2	0	4	-2	-10

---

Quadratic twists for isogeny class 6552j

-4	8	-3	-7	13
13104n	52416da	2184l	45864t	85176bu

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations